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The arithmetic mean of the observations 27, 69, 15, 88, 15, 54, 53, 20 and 19 is:
Question

The arithmetic mean of the observations 27, 69, 15, 88, 15, 54, 53, 20 and 19 is:

A.

50

B.

37

C.

40

D.

31

Correct option is C

Given:
The set of observations is: 27, 69, 15, 88, 15, 54, 53, 20, 19.
Formula Used:
Arithmetic Mean = Sum of all observationsTotal number of observations \frac{Sum\ of\ all\ observations}{Total\ number\ of\ observations}​​
Solution:
First, we calculate the sum of all the given observations.
Sum = 27 + 69 + 15 + 88 + 15 + 54 + 53 + 20 + 19
Sum = 360
Next, we count the total number of observations (N).
N = 9
Now, substituting these values into the arithmetic mean formula:
Mean = 3609\frac{360}{9}​​
Mean = 40
Final Answer
So the correct answer is (c)

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